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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/45902| 標題: | 高維度奇異點之研究 On Higher Dimensional Singularities |
| 作者: | Jheng-Jie Chen 陳正傑 |
| 指導教授: | 陳榮凱(Jung-Kai Chen) |
| 關鍵字: | 高維度奇異點,半平滑,加權完全相交的曲體,完備列表,嵌入維度,川又雄二郎blowup,加權blowup, higher dimensional singularities,quasismooth,weighted complete intersections,complete lists,embedding dimension,Kawamata blowup,weighted blowup, |
| 出版年 : | 2010 |
| 學位: | 博士 |
| 摘要: | We give the codimension bound for quasismooth weighted
complete intersections and also provide several complete lists on quasismooth weighted complete intersections which are terminal 3-folds (cf. [16]) and prove the finiteness of these families for every fixed amplitude . We have two counterexamples (which are different from 3-folds) for higher dimensional varieties with only terminal singularities. We prove the divisorial contraction to terminal cyclic quotient $(X, P) = C^n/Z_r(a_1, a_2, ..., a_n)$ with minimal discrepancy $1/r$ is unique. |
| URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/45902 |
| 全文授權: | 有償授權 |
| 顯示於系所單位： | 數學系 |
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| ntu-99-1.pdf 未授權公開取用 | 608.61 kB | Adobe PDF |
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